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Addition and Subtraction Problem Types and Strategies
Multiplication and Division Problem Types
Problem Type Task
Part Part Whole - Part Unknown
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Part Part Whole - Part Unknown
Question
Connie has 13 marbles. Five are red, and the rest are blue. How many blue marbles does Connie have?
Direct Modeling
OOOOOOOOOOOOO
OOOOO
OOOOOOOO
13 - 5 = ?
Strategy: Counting from
8 blue marbles!
Modeling
OOOOO
OOOOOOOOOOOOO
OOOOO
OOOOOOOO
5 + ? = 13
Strategy: Join to
8 blue marbles!
Counting
13 -
OOOOO
13 - 5 = ?
Strategy: Countdown from
5 +
OOOOOOOO
5 + ? = 13
Strategy: Counting on to
Facts
13 - 5 = ?
Fact known: 3 + 2 = 5//
13 - 3 --> 10 - 2 --> 8
13 -
OOO
--> 10 -
OO -->
8
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Part Part Whole - Part Unknown
Question
Connie has 13 marbles. Five are red, and the rest are blue. How many blue marbles does Connie have?
Direct Modeling
OOOOOOOOOOOOO
OOOOOOOOOOOOO
13 - 5 = ?
Strategy: Counting from
8 blue marbles!
Modeling
OOOOO
OOOOOOOOOOOOO
OOOOOOOOOOOOO
5 + ? = 13
Strategy: Join to
8 blue marbles!
Counting
13 - OOOOO
13 - 5 = ?
Strategy: Countdown from
5 + OOOOOOOO
5 + ? = 13
Strategy: Counting on to
Facts
13 - 5 = ?
Fact known: 3 + 2 = 5//
13 - 3 --> 10 - 2 --> 8
13 - OOO --> 10 - OO --> 8